Special Curves According to Bishop Frame in Minkowski 3-Space

Isah M. A., Külahçı M. A.

Applied Mathematics and Nonlinear Sciences, vol.5, no.1, pp.237-247, 2020 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.2478/amns.2020.1.00021
  • Journal Name: Applied Mathematics and Nonlinear Sciences
  • Journal Indexes: Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Page Numbers: pp.237-247
  • Keywords: Bishop frame, Pseudo null curve, slant helices
  • İstanbul Ticaret University Affiliated: Yes

Abstract

Pseudo null curves were studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curve are not considered. In this paper, we study weak AW (k)-type and AW (k)-type pseudo null curve in Minkowski 3-space E13[E_13. We define helix and slant helix according to Bishop frame in E1 3. Furthermore, the necessary and sufficient conditions for the slant helix and helix in Minkowski 3-space are obtained.